The diagram shows a track composed of a rectangle with a semicircle on each end. The area of the rectangle is 7,200 square meters. What is the perimeter of the track? Use 3.14 for Pi
Answers
Answer:
The perimeter of the track is the two circumferences of the semicircles (when combined, they form one circle, so we can just find the circumference of the circle) added to the lengths of the rectangle (160 meters).
To find the circumference of the circle, we need to know the diameter.
Circumference of a circle: dπ or 2rπ, where d represents diameter and r represents radius
The diameter of the circle happens to be the same as the width of the rectangle. We know that the area of a rectangle is found by multiplying its length by its width. We know that the area is 14400 and that its length is 160.
Width: area divided by length
14400160=90
The diameter of the circle and the width of the rectangle is 90 meters.
Circumference:
90⋅π=90π→ If you are using an approximation such as 3.14 for π, multiply that by 90
Add 160⋅2 to the circumference since the lengths of the rectangle are also part of the perimeter.
160⋅2=320
The perimeter of the track is 548.4 meters.
What is the perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.
Given that, the area of the rectangle is 7,200 square meters.
From the figure, length of a rectangle = 120 meter
Here, area of rectangle = Length×Width
120×Width=7200
Width = 60 meter
So, diameter of semicircle is 60 meter.
Radius = 30 meter
Perimeter of track = Perimeter of rectangle + Circumference of two semicircle
= 2(120+60)+2πr
= 360+2×3.14×30
= 360+188.4
= 548.4 meters
Therefore, the perimeter of the track is 548.4 meters.
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Related Questions
evaluate the expression when x = 2 x^2 + 8x – 6
Answers
Answer:
x =(7-√97)/-4= 0.712
Or
x =(7+√97)/-4=-4.212
A cylinder has volume 120 cm3.What is the volume of a cone with the same radius and height? ? 40 cm 60 cm O 240 cm 360 cm 3
Answers
The volume of a cone with the same radius and height as the cylinder is 40cm³.
What is the volume of the cone?
A cylinder is a three-dimensional object. It is a prism with a circular base.
Volume of a cylinder = nr^2h
n = 22/7r = radiusVolume of a cone = 1/3(nr^2h)
The volume of a cone, is 1/3 that of a cylinder.
Volume of the cone = 1/3 x 120 = 40
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Answer:cool
Step-by-step explanation:
iono
Find the area of each figure.
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Area of a Parallelogram is ~
[tex]\qquad \sf \dashrightarrow \:base \times height[/tex]
[tex]\qquad \sf \dashrightarrow \:7 \times 5[/tex]
[tex]\qquad \sf \dashrightarrow \:35 \: {cm}^{2} [/tex]
A contractor has two choices for billing a completed job. · $500 flat rate, regardless of the number of hours worked · $20 per hour worked the graph shows the relationship between pay per hour and number of hours worked for both scenarios.
Answers
Answer:
C. (25,20)
Step-by-step explanation:
Edge2022 <3
Good luck and remember (yall that take edge) , you can get through the day no matter how hard it may seem. I have faith In you guys :).
If number of hours worked is less than 20, 500 flat rate is preferable
and, If number of hours is more than 20, hourly rate i.e. 20 per hour is better.
What is Inequality?An inequality is a mathematical statement that compares two values or expressions using inequality symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to).
In the first scenario, where there is a $500 flat rate regardless of the number of hours worked, the pay per hour remains constant at $500 divided by the number of hours worked.
So, the graph for this scenario would be a horizontal line at a height of $500.
In the second scenario, where the contractor is paid $20 per hour worked, the pay per hour is fixed at $20.
let the number of hours be worked be x.
Then, 20x < 500
x< 25
So, if number of hours worked is less than 20, 500 flat rate is preferable
and, If number of hours is more than 20, hourly rate i.e. 20 per hour is better.
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Type the correct answer in the box. assume π = 3.14. and round your answer to the nearest hundredth. at the rate of $2.00 per square foot, the cost of painting the rectangular board with a semicircular top shown in the figure is $ .
Answers
The cost of painting the rectangular board with a semicircular top is $31.065 to the nearest hundredth.
How to find the area of the composite figures?To find area of the composite figures,
Separate the figure.Calculate the are of the each figure by which the composite figure is made of.Add the area of all the individual figures to get the total area of composite figures.The dimentions of the rectangle is 3 by 4 foot. The area of the rectangle is,
[tex]A_r=3\times4\\A_r=12\rm \;ft^2[/tex]
The radius of the semicircle is 1.5 m. The area of the semicircle is,
[tex]A_{sc}=\dfrac{1}{2}\pi\times(1.5)^2\\A_{sc}=\dfrac{1}{2}(3.14)\times(1.5)^2\\A_{sc}=3.5325\rm\; ft^2[/tex]
The area of the composite figure is,
[tex]A=12+3.5325\\A=15.5325\rm\;ft^2\\[/tex]
The rate of painting is $2.00 per square foot. Thus the cost to paint the figure is,
[tex]A=15.5325\times2\\A=31.065[/tex]
Hence, the cost of painting the rectangular board with a semicircular top is $31.065 to the nearest hundredth.
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Answer:31
Step-by-step explanation:
For a sphere with a radius of 8 cm, find the volume of the sphere. Write each answer as an exact value or as a number rounded to the nearest tenth.
Answers
Answer:
V≈2144.66cm³
Step-by-step explanation:
F(x)=f(x-1)+2x+1 if f(2) =17 what’s f(1)
Answers
Answer:
f(1) = 12
Step-by-step explanation:
We know that f(x)=f(x-1)+2x+1
We are told that f(2) = 17
Use the first equation to calculate f(1). Since f(2) is known and f(x-1) will become f(1) after f(2-1) is simplified to f(1).
17 = f(2-1)+2*2+1
f(2-1) = 17 - 5
f(1) = 12
Round 77.1110969489 to the nearest hundred-thousandth
Answers
rent is putting in a sidewalk that is 1/18 yard thick, 9 yards long, and 1 yard wide. how many cubic yards of cement does he need?
Answers
Answer:
1/18 x 9 x 1 = .5 cubic yards. Why would you ever waste time asking this....
Step-by-step explanation:
Answer:
Step-by-step explanation:
We have to find the volume. we can use volume of the cuboid formula
l = 1/18 yard
w = 9 yard
h = 1 yard
Volume = l*w*h
[tex]= \dfrac{1}{18}*9*1\\\\\\= \dfrac{1}{2}\\\\\\= 0.5 \ \sf cubic yard[/tex]
0.5 cubic yards of cement is needed
The Books Galore bookstore made 3 different orders for The Number Book. The ratio
of the amount of books sold and the price of each book is a fixed number. The table
shows their 3 orders.
Book Order Total Cost
212
S665.68
?
S1450.68
375
Part A
What is the number of books ordered for a purchase of $1450.68?
0453
O 456
O 462
465
13 14 15
16
17 18 19 20
Answers
help this is due tom
Answers
Answer:
9. (a) 1/4
(b) remove 3 alphabet cards
(c) add 4 number cards
10. 1/8
Step-by-step explanation:
Question 9
Given:
8 number cards10 alphabet cards6 picture cards⇒ total number of cards = 8 + 10 + 6 = 24 cards
[tex]\mathsf{Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ outcomes}}[/tex]
(a) P(picture card) = 6/24 = 1/4
(b) P(alphabet card) = 10/24 = 5/12
If we remove 3 alphabet cards from the box
⇒ number of alphabet cards = 10 - 3 = 7
⇒ total number of cards = 24 - 3 = 21
Therefore, P(alphabet card) = 7/21 = 1/3
(c) P(number card) = 8/24 = 1/3
If we add 4 number cards to the box:
⇒ number of number cards = 8 + 4 = 12
⇒ total number of cards = 24 + 4 = 28
Therefore, P(number card) = 12/28 = 3/7
--------------------------------------------------------------------
Question 10
Given:
ΔSDR = ΔPRQLeg length of ΔSDR and ΔPRQ = 4 cm⇒ area of ΔSDR = area of ΔPRQ = 1/2 × 4 × 4 = 8 cm²
As PR = SD = 4cm
Area of rectangle = (4 + 4) × (12 + 4) = 128 cm²
P(point lies in ΔSDR) = 8/128 = 1/16
P(point lies in ΔPRQ) = 8/128 = 1/16
P(point lies in ΔSDR) OR P(point lies in ΔPRQ) = 1/16 + 1/16 = 2/16 = 1/8
Simplify
3k - (2m + 5K) - m
Answers
Answer:
[tex]-3m-2k[/tex]
Step-by-step explanation:
Given to simplify : 3k - (2m + 5K) - m
Solution :
[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a+b\right)=-a-b[/tex]
[tex]-\left(2m+5k\right)=-2m-5k[/tex]
[tex]=3k-2m-5k-m[/tex]
[tex]\mathrm{Group\;like\;terms}[/tex]
[tex]=-2m-m+3k-5k[/tex]
[tex]\mathrm{Group\;like\;terms}[/tex]
[tex]=-3m+3k-5k[/tex]
[tex]\mathrm{Group\;like\;terms}[/tex]
[tex]=-3m-2k[/tex]
[RevyBreeze]
Use the distributive property:-
-(2m+5k) = -2m-5k [tex]\checkmark[/tex]
[tex]\rule{270}{1}[/tex]
Let's simplify this expression by combining like terms:-
[tex]\bigstar[/tex] The like terms are:-
3k, -5k
and
-2m, -m
[tex]\bigstar{[/tex] Combine Like terms:-
3k-5k=-2k
-2m-m=-3m
Hence, we have:-
[tex]\bigstar{\boxed{\pmb{-2k-3m}}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
Amy rolls a 12 sided die numbered from one to twelve.
what is the probability amy rolls a multiple of 4 written
as a percent?
Answers
To find the probability, we'll need to find the number of possibilities with an outcome that we want, as well as the total number of outcomes.
Multiples of 4: 4, 8, 12
---There are 3 possibilities
Total outcomes: 12
3 / 12 = 1/4 = 0.25 = 25%
Probability Amy rolls a multiple of 4 = 25%
Hope this helps!
(4x - 6)
(x+6y)”
Solve for y
Answers
Hey there!
(4x - 6)(x + 6y)
= (4x - 6)(1x + 6y)
= 4x(1x) + 4x(6y) - 6(1x) - 6(6y)
= 4x^2 + 24xy - 6x - 36y
Therefore, your answer is:
4x^2 + 24xy - 6x - 36y
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
PLEASE HELP ASAP
84 = h – 8
h =
Answers
Hello!
Let's solve this equation:
84=h-8
This is the same as
h-8=84
Add 8 to both sides:
h=84+8
h=92
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
H=92
2 1/4 ÷ 4 1/5 the anser can not be improper
Answers
Answer:
15/28, 15/28, 15/28
Step-by-step explanation:
1. Is simplified
2. Divided
3. Evaluated
(Yes I know there the same but its just in case.)
Jasmine made a line plot to show the lengths of string in inches that the art teacher gave her for a craft project. A line plot named Which of the following statements that Jasmine made about the string lengths are true? Select the two that apply. A. The difference between the longest length and shortest length is 14 inches. B. I have twice as many 12-inch strings as I do 8-inch strings. C. The total length of string that I have is 84 inches. D. I cannot determine what the shortest string is by looking at my line plot. E. Since I need 100 total inches of string for my project, I have enough string.
Answers
The length of all the strings combined is 84 inches, while the length of the smallest string is 6 inches.
What is a line plot?
A line plot is a graph that shows the frequency of each value by displaying data as points or checkmarks above a number line.
In the given line plot, if we consider each of the options with the plot given to us, we will get to know which of the options are true or not.
A.) A. The difference between the longest length and shortest length is 14 inches.
As given in the plot, the longest string is 14 units while the smallest is 6 units, therefore, the first option is incorrect.
B.) I have twice as many 12-inch strings as I do 8-inch strings.
In the plot since the number of dots represents the number of strings of a particular length, therefore, the number of strings of length 12-inches is 4 and the number of strings of length 8-inches is 2. Thus, the given options are correct.
C.) The total length of string that I have is 84 inches.
As per the plot, the number of strings of length 6 inches is 1, the number of strings of length 8 inches is 2, the strings of length 12inches is 4, and the number of strings of length 14 inches is 1. Thus, the sum of the length of all the strings is 84 inches.
Hence, the statement is correct.
D.) I cannot determine what the shortest string is by looking at my line plot.
As given in the plot, the length of the smallest string is 6 inches, thus, the statement is incorrect.
E.) Since I need 100 total inches of string for my project, I have enough string.
As the length of all the strings combined is just 84 inches, thus, the statement is incorrect.
Hence, the only option that is correct is 'B' and 'C'.
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Kelly read 30 pages of her 300-page book in 6 hours. at this rate, how long will it take her to read the entire book?
60 hours
5 hours
6 hours
30 hours
i am in middle school.
Answers
Answer:
60 hours
Step-by-step explanation:
300 ÷ 30 = 10
10 x 6 = 60
Hope this helps :)
Answer: 60 hours
Step-by-step explanation:
30=300- times 10
6=_60_
The football team played 15 games this season and won three more games than it lost. How many games did the team lose?
Answers
w = won game
l = lost game
w + l = 15
and
w = I + 3
so
l + 3 + l = 15
2l = 12
l = 6
lost = 6
won = 9
Answer:
The ratio of wins to losses is 3 to 1, out of 32 total games. 3:1 has a total of 4 parts (3+1).
Total games divided by total parts is 32/4 = 8.
Now multiplying number of parts to divisor gives us 3x8 : 1x8 or 24:8. Therefore they won 24 games, lost 8.
Step-by-step explanation:
Which of these numbers is a solution of the inequality 3x>18?
Answers
Let's solve this inequality:-
3x<18
Divide both sides by 3:-
x<6
So numbers less than 6 will make this inequality [tex]\sf{true}[/tex].
notes:-You haven't listed any numbers, so I don't know what options you have,
Please list the numbers in the comments & I will edit my answer :)
Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)
Answer:
The possible answers are all numbers above 6.
Step-by-step explanation:
3x>18
3x/3> 18/3
x> 6
Complete the coordinates using the given equation
Y=3x+3
X=5
Answers
Answer:
(5,18)
Step-by-step explanation:
Plug in the X value into the Y equation,
Y=3(5) +3
Y=15 +3
Y=18
Then format your results as coordinates in the standard (X,Y) format
(X,Y)
(5,Y)
(5,18)
3(5)= 15 + 3 = 18
Find the area of a semicircle with diameter 9 cm
Answers
Answer:
31.8 cm^2
Step-by-step explanation:
Area of WHOLE circle = pi r^2
semicircle is 1/2 of this ( r = 1/2 of the diameter)
1/2 pi r^2
1/2 pi (9/2)^2 =
Aiden has 15 pieces of candy in a brown paper bag. 3 are candy bars, 2 are gum, 4 are mints, 5 are chewy candies and 1 is a lollipop. What is the probability that he reaches in, grabs a candy bar or chewy candy, eats it and then grabs a piece of gum?
When typing in your answer, enter it as a fraction, such as 1/2. Simplify your answer.
8/?
Answers
Answer: 3/10
Step-by-step explanation: so you add 15+3+2+4+5+1 and that is 30 then you simplify 30 and get 3/10
Probability of chewy candy 1/3
Probability of piece of gums 2/15
this is what I need help with, because I dont understand how to do it
Answers
Answer
102.1
Step-by-step explanation:
area of the shaded region is the area of the the whole circle subtract area area of the unshaded minor segment.
show work pls hahhhh
Answers
Answer:
27
Step-by-step explanation:
[tex]\frac{3^2\left(2^3+4\right)}{2^2}[/tex]
[tex]\mathrm{Solve\;3^2\cdot(2^3+4):108}[/tex]
[tex]\mathrm{Solve\;2^2:4}[/tex]
[tex]=\frac{108}{4}[/tex]
[tex]\mathrm{Divide\:the\:numbers:}\:\frac{108}{4}=27[/tex]
~Lenvy~
Which represents the polynomial written in standard form? 4m – 2m4 – 6m2 9 9 4m 2m4 – 6m2 2m4 – 6m2 – 4m 9 9 – 6m2 4m – 2m4 –2m4 – 6m2 4m 9.
Answers
The standerd form 4m – 2m^4 – 6m^2 +9.
We have given that the polynomial given below we have to find the standerd form of the polynomial.
What is the standerd form of the polynomial[tex]P(x)=a_nx^n+a_{n-1}x^{n-1}+......+a_1x+a_0[/tex]
n=4
Standard form of the polynomial
[tex]4m - 2m^4 - 6m^2 + 9[/tex]
Rearranginge term we get
[tex]=-2m^4 - 6m^2 + 4m + 9[/tex]
The third term of the given polynomial is 0.
Therefore,the standard form is,
[tex]-2m^4 - 6m^2 + 4m + 9[/tex]
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to the Kansas River Crossing.
Last year the depth of the river was 4.2 feet deep.
This year it dropped 17%.
Find the depth of the river this year to cross it.
Answers
Answer:
3.486 feet (1.06 m) or 3 feet (0.91 m) five inches
Step-by-step explanation:
17 percent of 4.2 is 0.714 and 4.2–0.714 is 3.486
Step-by-step explanation:
We have 6 tents for 18 campers each tent holds 2 or 4 campers exactly how many of our tents hold 2
Answers
Answer:
3 tents hold 2 campers
Step-by-step explanation:
The given relations can be expressed as a single equation in the number of 2-camper tents.
__
Let x represent the number of 2-camper tents. Then the number of 4-camper tents is 6-x, and the total number of campers in tents is ...
2x +4(6 -x) = 18
-2x +24 = 18
-2x = -6 . . . . . . subtract 24
x = 3 . . . . . . . divide by -2
Exactly 3 tents hold 2 campers.
_____
Additional comment
The other 3 tents hold 4 campers.
Another way to consider this is to assume that all tents hold 2 campers, and then realize there are 18 -6×2 = 6 campers left over. If these are placed 2 per tent, then there will be 6/2 = 3 tents with 4 campers. The remaining 3 tents will have 2 campers.
what value of a makes this proportion 4/12 = a/27
Answers
Answer:
The Formula for Percent Proportion is Parts /whole = percent/100. This formula can be used to find the percent of a given ratio and to find the missing value of a part or a whole.
Answer:
a = 9
Step-by-step explanation:
[tex]\frac{4}{12}[/tex] = [tex]\frac{a}{27}[/tex] ( cross- multiply )
12a = 108 ( divide both sides by 12 )
a = 9
SOMEONE HELP!!!!!!!!!!!!!!!!!1
Answers
Answer:
5
Step-by-step explanation:
Determina el grado de y =3r⁵ + 8r³
5